Q. The period of oscillation of a mass m suspended from a spring is 2 s. If along with it another mass 2 kg is also suspended, the period of oscillation increases by 1 s. the mass m will be
A) 2 kg
B) 1 kg
C) 1.6 kg
D) 2.6 kg
Explanation
(c) $2 = 2\pi\sqrt{\frac{m}{k}};and\ 3 = 2\pi\sqrt{\frac{m + 2}{k}}$
So, $\frac{3}{2} = \sqrt{\frac{m + 2}{k}}$
or $9m = 4m + 8\ \ or\ \ m = 1.6\ kg$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.